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The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity
Abels, Helmut, Mora, Maria Giovanna and Müller, Stefan (2010) The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity. Preprintreihe der Fakultät Mathematik 1/2010, Working Paper. (Unpublished)Date of publication of this fulltext: 12 Feb 2010 09:43
Monograph
DOI to cite this document: 10.5283/epub.12837
Abstract
The asymptotic behaviour of the solutions of three-dimensional
nonlinear elastodynamics in a thin plate is studied, as the thickness h of the
plate tends to zero. Under appropriate scalings of the applied force and of the
initial values in terms of h, it is shown that three-dimensional solutions of the
nonlinear elastodynamic equation converge to solutions of the time-dependent
von Kármán plate equation.
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Details
| Item type | Monograph (Working Paper) | ||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 1/2010 | ||||||||||
| Date | 2010 | ||||||||||
| Institutions | Mathematics > Prof. Dr. Helmut Abels | ||||||||||
| Classification |
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| Keywords | dimension reduction, nonlinear elasticity, von Kármán plate equation, wave equation, elastodynamics | ||||||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||||||
| Status | Unpublished | ||||||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||||||
| Created at the University of Regensburg | Yes | ||||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-128378 | ||||||||||
| Item ID | 12837 |
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